1006406947780 has 96 divisors (see below), whose sum is σ = 2290053362688. Its totient is φ = 369309196800.

The previous prime is 1006406947771. The next prime is 1006406947783. The reversal of 1006406947780 is 877496046001.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (1006406947783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85784515 + ... + 85796245.

It is an arithmetic number, because the mean of its divisors is an integer number (23854722528).

Almost surely, 2^{1006406947780} is an apocalyptic number.

1006406947780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006406947780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145026681344).

1006406947780 is an abundant number, since it is smaller than the sum of its proper divisors (1283646414908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006406947780 is a wasteful number, since it uses less digits than its factorization.

1006406947780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13757 (or 13755 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 1006406947780 in words is "one trillion, six billion, four hundred six million, nine hundred forty-seven thousand, seven hundred eighty".